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Finding the Fourth Proportional to 598.30, 896.23 and 251.50

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Solution

The fourth proportional to 598.30, 896.23 and 251.50 is: 376.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.30 : 896.23 = 251.50 : x
  2. Step 2: Convert to fraction form
    598.30/896.23 = 251.50/x
  3. Step 3: Cross multiply
    598.30x = 896.23 × 251.50
  4. Step 4: Simplify right side
    598.30x = 225,401.85
  5. Step 5: Solve for x
    x = 225,401.85/598.30
  6. Step 6: Final answer
    x = 376.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.